I have both a male Jackson's Chameleon and a couple of bearded dragons. My beardies will sit on the couch with me and hang out.
I think I might be an exception with my cham though. My cham doesn't have a cage..he free ranges all day. He does have a special free range set up with his heat lamp, UVB, dripper etc that he goes to and from at will. He pretty much roams around the living room and really nothing bothers him not even the cats. Regarding handling..I probably handle him more then most, but he doesn't seem to mind it, but at the same time doesn't love it. He definitely won't hang out on me like my beardie does and is in constant motion unless he's sleeping.
But, If my cham did seem stressed and was not happy and didn't like to be handled I definitely wouldn't. I guess I was just lucky and got one with a good temperament. He never tries to bite or hisses or anything. Then again it just might be the nature of the Jackson's cham compered to a veiled or panther. I don't know?
I do want to say that even though my cham now free ranges and pretty much owns the living room, he didn't start out that way. He started in a cage when he was a baby, he was more skiddish then and I didn't handle him as much as I do now. Maybe once a week at the most.
As he grew he seemed to prefer to be out of the cage more. So I hung a pathos plant above the cage so he could reach the plant from his cage climb up when he wanted and back into his cage when he wanted. And I always locked him in his cage at night. It got to the point where he wanted to be out more then in and he would litterally freak and stress out if I locked him in the cage. So I just started leaving him out and it progressed from there. And it has worked out for me and "my" cham..every situation is different.
But, I do want to make a strong point of saying it took about 6-9mos to get to where he is now. It just worked out that way and he pretty much did it on his own. I never forced him to do any of the above. If he stressed out from being out of his cage or handled then I definitely wouldn't have. I was just lucky like that way. But, as far as being cuddly..he never will be..not like a bearded dragon and you have to respect that in a cham.



Good luck with your choice!
Natalie